求函数f(x)=sinxcosx/(1+sinx+cosx)的最大值和最小值
问题描述：
求函数f(x)=sinxcosx/(1+sinx+cosx)的最大值和最小值
答
f(x)=sinxcosx/(1+sinx+cosx)=2sin(x/2)cos(x/2)(cos^(x/2)-sin^(x/2))/(2sin(x/2)cos(x/2)+2cos^(x/2))=2sin(x/2)cos(x/2)(cos^(x/2)-sin^(x/2))/2cos(x/2)(sin(x/2)+cos(x/2))=sin(x/2)(cos(x/2)-sin(x/2))=sin(x/...